An instability theorem for nonlinear fractional differential systems
Year: 2017
Type: article
Abstract: In this paper, we give a criterion on instability of an equilibrium of a nonlinear Caputo fractional differential system. More precisely, we prove that if the spectrum of the linearization has at least one eigenvalue in the sector $\left\{ \lambda \in \mathbb{C}\setminus \{0\}:|\arg (\lambda )| < \frac{\alpha \pi }{2} \right\},$ where $α∈ (0,1)$ is the order of the fractional differential system, then the equilibrium of the nonlinear system is unstable.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2415201600